02696nam 2200589 450 991079603800332120170822144315.00-8218-9466-8(CKB)3780000000000139(EBL)3114438(SSID)ssj0000889024(PQKBManifestationID)11478244(PQKBTitleCode)TC0000889024(PQKBWorkID)10875132(PQKB)10852678(MiAaPQ)EBC3114438(RPAM)17520687(PPN)195408241(EXLCZ)99378000000000013920150416h20122012 uy 0engur|n|---|||||txtccrThe Kohn-Sham equation for deformed crystals /Weinan E, Jianfeng LuProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (97 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 221, Number 1040"January 2013, Volume 221, Number 1040 (fourth of 5 numbers)."0-8218-7560-4 Includes bibliographical references.""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Perfect crystal""; ""Chapter 3. Stability condition""; ""Chapter 4. Homogeneously deformed crystal""; ""Chapter 5. Deformed crystal and the extended Cauchy-Born rule""; ""Chapter 6. The linearized Kohn-Sham operator""; ""1. From density to potential: Uniform estimates of the operator""; ""Chapter 7. Proof of the results for the homogeneously deformed crystal""; ""Chapter 8. Exponential decay of the resolvent""; ""Chapter 9. Asymptotic analysis of the Kohn-Sham equation""""Chapter 10. Higher order approximate solution to the Kohn-Sham equation""""Chapter 11. Proofs of Lemmas 5.3 and 5.4""; ""Appendix A. Proofs of Lemmas 9.3 and 9.9""; ""Acknowledgement""; ""Bibliography""Memoirs of the American Mathematical Society ;Volume 221, Number 1040.Dislocations in crystalsMathematical modelsDeformations (Mechanics)Mathematical modelsDensity functionalsDislocations in crystalsMathematical models.Deformations (Mechanics)Mathematical models.Density functionals.548.8420153154E Weinan1963-1519521Lu Jianfeng1983-MiAaPQMiAaPQMiAaPQBOOK9910796038003321The Kohn-Sham equation for deformed crystals3757698UNINA